### Structural Analysis of a Loaded Beam**Q.2) (a) Find the support reactions of the beam shown below.**(b) Sketch the shear-force and bending moment diagrams for the loaded beam shown below without formulating the SF and BM equations. Also label the values of shear-force and bending-moment at all key points.****Beam Description:**The beam is supported at two points, marked as A and B. The horizontal beam is subjected to various loads as follows:- A uniformly distributed load (UDL) of 6 kN/m is applied over a length of 4 meters starting from the left end (between A and B).- A point load of 12 kN acts downwards at a distance of 6 meters from the left end.- A clockwise moment of 8 kN.m is applied at a point 8 meters from the left end.- Another UDL that linearly increases from 0 kN/m to 10 kN/m over a length of 3 meters, starting at 7 meters from the left end.**Dimensions:**- Distance from the left end to support A: 2 meters- Distance between supports A and B: 4 meters- Distance from support B to the point where the linearly increasing UDL ends: 3 meters**Diagram Descriptions:**- A vertical y-axis and a horizontal x-axis are used for reference.- The uniformly distributed load of 6 kN/m is visually depicted by arrows pointing downwards, distributed evenly between supports A and B.- The 12 kN point load acts vertically downward with a distinct arrow at the specific location mentioned.- The 8 kN.m moment is indicated with a curved arrow, showing the point of action and direction.- The linearly increasing load is represented by a triangular shape, starting from 0 and peaking at 10 kN/m towards the end of the beam.**Graphical Explanations:**1. **Support Reactions:** - The reactions at supports A and B act vertically upward to counterbalance the applied loads.2. **Shear Force Diagram (SFD):** - The shear force diagram would start from zero at the left end. - It will linearly increase or decrease corresponding to the respective loads (UDL, point load, and moment). - Key points where the shear force drastically changes should be marked and their values calculated.

Given:- To find:- Support reactions Shear force and bending moment diagrams

(a) Find the support reactions of the beam shown below. (b) Sketch the shear-force and bending moment diagrams for the loaded beam shown below without formulating the SF and BM equations. Also label the values of shear-force and bending-moment at all key points. 2 m 6 kN/m A X -4 m 2m 12 kN 8 kN.m 2m 3 m 10 kN/m

(a) Find the support reactions of the beam shown below. (b) Sketch the shear-force and bending moment diagrams for the loaded beam shown below without formulating the SF and BM equations. Also label the values of shear-force and bending-moment at all key points. 2 m 6 kN/m A X -4 m 2m 12 kN 8 kN.m 2m 3 m 10 kN/m

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Beams

In structural engineering, a beam is a component made of a variety of materials (including steel alloys, and wood) that can resist loads applied laterally to the beam axis. Members, elements, rafters, shafts, and purlins are all terms used to describe beams.

Question

### Structural Analysis of a Loaded Beam

**Q.2) (a) Find the support reactions of the beam shown below.**
(b) Sketch the shear-force and bending moment diagrams for the loaded beam shown below without formulating the SF and BM equations. Also label the values of shear-force and bending-moment at all key points.**

**Beam Description:**
The beam is supported at two points, marked as A and B. The horizontal beam is subjected to various loads as follows:
- A uniformly distributed load (UDL) of 6 kN/m is applied over a length of 4 meters starting from the left end (between A and B).
- A point load of 12 kN acts downwards at a distance of 6 meters from the left end.
- A clockwise moment of 8 kN.m is applied at a point 8 meters from the left end.
- Another UDL that linearly increases from 0 kN/m to 10 kN/m over a length of 3 meters, starting at 7 meters from the left end.

**Dimensions:**
- Distance from the left end to support A: 2 meters
- Distance between supports A and B: 4 meters
- Distance from support B to the point where the linearly increasing UDL ends: 3 meters

**Diagram Descriptions:**
- A vertical y-axis and a horizontal x-axis are used for reference.
- The uniformly distributed load of 6 kN/m is visually depicted by arrows pointing downwards, distributed evenly between supports A and B.
- The 12 kN point load acts vertically downward with a distinct arrow at the specific location mentioned.
- The 8 kN.m moment is indicated with a curved arrow, showing the point of action and direction.
- The linearly increasing load is represented by a triangular shape, starting from 0 and peaking at 10 kN/m towards the end of the beam.

**Graphical Explanations:**
1. **Support Reactions:**
- The reactions at supports A and B act vertically upward to counterbalance the applied loads.

2. **Shear Force Diagram (SFD):**
- The shear force diagram would start from zero at the left end.
- It will linearly increase or decrease corresponding to the respective loads (UDL, point load, and moment).
- Key points where the shear force drastically changes should be marked and their values calculated.

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